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Simplifying 4[3r + -3] + 5(r + 1) + -7(r + -1) = x(r + -1) Reorder the terms: 4[-3 + 3r] + 5(r + 1) + -7(r + -1) = x(r + -1) [-3 * 4 + 3r * 4] + 5(r + 1) + -7(r + -1) = x(r + -1) [-12 + 12r] + 5(r + 1) + -7(r + -1) = x(r + -1) Reorder the terms: -12 + 12r + 5(1 + r) + -7(r + -1) = x(r + -1) -12 + 12r + (1 * 5 + r * 5) + -7(r + -1) = x(r + -1) -12 + 12r + (5 + 5r) + -7(r + -1) = x(r + -1) Reorder the terms: -12 + 12r + 5 + 5r + -7(-1 + r) = x(r + -1) -12 + 12r + 5 + 5r + (-1 * -7 + r * -7) = x(r + -1) -12 + 12r + 5 + 5r + (7 + -7r) = x(r + -1) Reorder the terms: -12 + 5 + 7 + 12r + 5r + -7r = x(r + -1) Combine like terms: -12 + 5 = -7 -7 + 7 + 12r + 5r + -7r = x(r + -1) Combine like terms: -7 + 7 = 0 0 + 12r + 5r + -7r = x(r + -1) 12r + 5r + -7r = x(r + -1) Combine like terms: 12r + 5r = 17r 17r + -7r = x(r + -1) Combine like terms: 17r + -7r = 10r 10r = x(r + -1) Reorder the terms: 10r = x(-1 + r) 10r = (-1 * x + r * x) Reorder the terms: 10r = (rx + -1x) 10r = (rx + -1x) Solving 10r = rx + -1x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1rx' to each side of the equation. 10r + -1rx = rx + -1rx + -1x Combine like terms: rx + -1rx = 0 10r + -1rx = 0 + -1x 10r + -1rx = -1x Combine like terms: -1x + x = 0 10r + -1rx + x = 0 The solution to this equation could not be determined.
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